18. Let p and q be two distinct primes and let r> 0 € Z a.) How many generators does Zpq have? b.) How many generators d

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18 Let P And Q Be Two Distinct Primes And Let R 0 Z A How Many Generators Does Zpq Have B How Many Generators D 1 (23.92 KiB) Viewed 12 times

18. Let p and q be two distinct primes and let r> 0 € Z a.) How many generators does Zpq have? b.) How many generators does Zpr have? c.) Prove that Zp has no nontrivial subgroups. 19. Let G be an abelian group. Show that the elements of finite order in G form a subgroup. This subgroup is called the torsion subgroup of G. 20. Prove that the nth roots of unity form a cyclic subgroup of the circle group TCC of order n.